Blow-up estimates for semilinear parabolic systems coupled in an equation and a boundary condition

被引：0

作者：

王明新

机构：

来源：

Science China Mathematics | 2001年 / 11期

基金：

中国国家自然科学基金;

关键词：

semilinear parabolic systems; blow-up rates; upper and lower bounds;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This paper deals with the blow-up rate estimates of solutions for semilinear parabolic sys-tems coupled in an equation and a boundary condition. The upper and lower bounds of blow-up rates have been obtained.

引用

页码：1465 / 1468

页数：4

共 50 条

[31] Existence and blow-up of solutions for a degenerate semilinear parabolic equation
Ran, Yanping
Peng, Congming
[J]. CURRENT TRENDS IN THE DEVELOPMENT OF INDUSTRY, PTS 1 AND 2, 2013, 785-786 : 1454 - 1458
[32] THE BLOW-UP PROFILE FOR A NONLOCAL NONLINEAR PARABOLIC EQUATION WITH A NONLOCAL BOUNDARY CONDITION
Chen, Youpeng
Liu, Lihua
[J]. QUARTERLY OF APPLIED MATHEMATICS, 2012, 70 (04) : 759 - 772
[33] Regional blow-up for a doubly nonlinear parabolic equation with a nonlinear boundary condition
Filo, Jan
Perez-Llanos, Mayte
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2007, 19 (03) : 719 - 746
[34] Blow-up time for a semilinear parabolic equation with variable reaction
Boni, Theodore Kouassi
Kouakou, Remi Kouadio
[J]. TURKISH JOURNAL OF MATHEMATICS, 2011, 35 (01) : 87 - 100
[35] Blow-up rates for degenerate parabolic equations coupled via equation and boundary
Xiang, Zhaoyin
Chen, Qiong
Mu, Chunlai
[J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2011, 26 (03): : 261 - 271
[36] BLOW-UP PROBLEM FOR SEMILINEAR HEAT EQUATION WITH NONLINEAR NONLOCAL NEUMANN BOUNDARY CONDITION
Gladkov, Alexander
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2017, 16 (06) : 2053 - 2068
[37] Estimates on Blow-up Rate of Nonlinear Parabolic Systems with Nonlinear Boundary Conditions
LIU Wei-ling
[J]. Chinese Quarterly Journal of Mathematics, 2005, (04) : 401 - 405
[38] Blow-up of positive solutions of a semilinear parabolic equation with a gradient term
Chlebík, M
Fila, M
Quittner, P
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2003, 10 (04): : 525 - 537
[39] Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
Gao, Wenjie
Han, Yuzhu
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (05) : 784 - 788
[40] Location of blow-up set for a semilinear parabolic equation with large diffusion
Kazuhiro Ishige
Noriko Mizoguchi
[J]. Mathematische Annalen, 2003, 327 : 487 - 511

← 1 2 3 4 5 →